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Instructor: |
Mark Iwen |
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Time and Place: |
MWF 3:05PM - 3:55PM in
Soc/Psych 129 |
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E-mail: |
markiwen@math.duke.edu |
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Office: |
Physics 015 |
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Office Phone: |
(919) 660-2871 |
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Office Hours: |
Monday from 11:30 AM until 12:30 PM, Tuesday from 10 AM until 11 AM, and Wednesday from 9 AM until 10 AM. |
| Course Information: | Syllabus |
| The Book: | Linear Algebra: A Geometric Approach, Second Edition, by T. Shifrin and M. Adams, W.H. Freeman and Company, New York, 2011. ISBN-10: 1-4292-1521-6 |
| Selected Solutions: | Homework #1, some Section 1.1, 1.2, and 1.3 problem solutions |
| Homework #2, some Section 1.4 and 1.5 problem solutions |
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| Homework #3, some Section 1.6 and 2.1 problem solutions |
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| Homework #4, some Section 2.2, 2.3, and 2.4 problem solutions |
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| Homework #5, some Section 2.5, 3.1, and 3.2 problem solutions |
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| Homework #6, some Section 3.3, 3.4, and 3.6 problem solutions |
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| Homework #7, some Section 4.1 and 4.2 problem solutions |
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| Homework #8, some Section 4.3 and 4.4 problem solutions |
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| Homework #9, some Section 5.1, 5.2, and 5.3 problem solutions |
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| Homework #10, some Section 6.1, 6.2, and 6.3 problem solutions |
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| Homework #11, some Section 6.4, 7.1, and 7.3 problem solutions |
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| Some other example solutions from various sections are here and here. |
| Class Date |
Sections Covered |
Homework Assigned |
Homework Due |
| Mon, Aug 29 | 1.1, Pages 1--15 | Pages 15 --18: 6(a,c,g), 7, 8, 10, 11, 21, 22, 23, 25, 29 Read Syllabus |
Wed, Sep 7 |
| Wed, Aug 31 | 1.2, Pages 18--25 | Pages 25--28: 1(b,d,g), 2(b,d,g), 4, 9, 11, 13, 16, 18 | Wed, Sep 7 |
| Fri, Sep 2 | 1.3, Pages 28--34 | Pages 34--35: 1(a,c,f), 3(a,d,e), 5, 8, 11, 12 | Wed, Sep 7 |
| Mon, Sep 5 | 1.4, Pages 36--49 | Pages 49--53: 1, 3(a--f), 4(d,f), 10, 11, 13 | Wed, Sep 14 |
| Wed, Sep 7 | 1.4, Pages 36--49 | No new homework! | Wed, Sep 14 |
| Fri, Sep 9 | 1.5, Pages 53--61 | Pages 61--64: 1, 2(a,b), 3(a,c), 4a, 5b, 6, 10, 12, 13, 14 | Wed, Sep 14 |
| Mon, Sep 12 | 1.5, Pages 53--61 | No new homework! | Wed, Sep 14 |
| Wed, Sep 14 | 1.6, Pages 64--75 | Pages 75--77: 3, 5, 7, 9, 11, 12a, 13b | Wed, Sep 21 |
| Fri, Sep 16 | 2.1, Pages 81--89 | Pages 89--91: 1(a,c,f), 2, 5, 6, 7, 8, 9, 12(a,b,d), 14, 15 | Wed, Sep 21 |
| Mon, Sep 19 | 2.2, Pages 91--100 | Pages 100--102: 5, 7, 8 | Wed, Sep 28 |
| Wed, Sep 21 | Chapter 1 2.1, Pages 81--89 |
TEST 1 | Wed, Sep 21 |
| Fri, Sep 23 | 2.3, Pages 102--108 | Pages 108--110: 1(b,d,f), 2(a,c,d), 4, 8, 11, 12, 16 | Wed, Sep 28 |
| Mon, Sep 26 | 2.4, Pages 110--117 | Pages 118--119: 3(a,c,d), 7, 14 | Wed, Sept 28 |
| Wed, Sep 28 | 2.5, Pages 119--121 | Pages 121--124: 1(a,f,j), 4, 8, 9, 12, 15, 19(a,b,c), 22, 23 | Wed, Oct 5 |
| Fri, Sep 30 | 3.1, Pages 127--134 | Pages 134--135: 1, 2(a,c,d), 6, 9(b,c), 10, 12, 13, 14, 17 | Wed, Oct 5 |
| Mon, Oct 3 | 3.2, Pages 136--142 | Pages 142--143: 1, 2(a,b), 5, 10, 11 | Wed, Oct 5 |
| Wed, Oct 5 | 3.3, Pages 143--154 | Pages 154--156: 1, 2, 5(a,b), 8, 10, 11, 14, 15, 19, 21, 22 | Wed, Oct 19 |
| Fri, Oct 7 | 3.4, Pages 157--167 | Pages 167--170: 2, 3(a,b,d), 4, 7, 17, 20, 24 | Wed, Oct 19 |
| FALL BREAK | FALL BREAK | FALL BREAK | FALL BREAK |
| Wed, Oct 12 | 3.6, Pages 176--185 | Pages 185--188: 1, 2(a,c,d), 3(a,c,f), 4, 6(a,b), 9, 12a, 13, 14(b,c), 15(a,b) |
Wed, Oct 19 |
| Fri, Oct 14 | 3.6, Pages 176--185 | No new homework! | Wed, Oct 19 |
| Mon, Oct 17 | 4.1, Pages 191--198 | Pages 198--200: 1(a,b), 3, 6, 7, 9, 11, 13, 15 | Wed, Oct 26 |
| Wed, Oct 19 | Chapters 2 and 3 | TEST 2 | Wed, Oct 19 |
| Fri, Oct 21 | 4.2, Pages 200--206 | Pages 206--208: 2(b,c), 3, 6, 7(a,b), 8a, 9a, 11, 12(a,b) | Wed, Oct 26 |
| Mon, Oct 24 | 4.2, Pages 200--206 | No new homework! | Wed, Oct 26 |
| Wed, Oct 26 | 4.3, Pages 208--220 | Pages 220--224: 3, 7, 9, 12, 16, 18, 19, 20, 21, 27 | Wed, Nov 2 |
| Fri, Oct 28 | 4.4, Pages 224--234 | Pages 234--237: 2, 5, 7, 8, 11, 21 | Wed, Nov 2 |
| Mon, Oct 31 | 5.1, Pages 239--243 | Pages 243--245: 1(a,b,c), 2, 4, 5, 7, 9a, 10, 11 | Wed, Nov 9 |
| Wed, Nov 2 | 5.2, Pages 245--252 | Pages 252--255: 1a, 3, 4, 5(a,c,f), 7, 8, 10 | Wed, Nov 9 |
| Fri, Nov 4 | 5.2, Pages 245--252 | No new homework! | Wed, Nov 9 |
| Mon, Nov 7 | 5.3, Pages 255--258 | Pages 258--260: 3, 5, 7 | Wed, Nov 16 |
| Wed, Nov 9 | Complex Matrices | 1.)Verify the inverse matrix calculated in class is correct. 2.)Consider vectors with complex entries, Cn, with complex scalar multiplication. Verify that the inner product defined in class is indeed an inner product. |
Wed, Nov 16 |
| Fri, Nov 11 | 6.1, Pages 261--268 | Pages 268--270: 1(a,b,d,g,h,i,p), 2, 3, 4, 6, 7(a,d), 9, 10, 13(a,b) |
Wed, Nov 30 |
| Mon, Nov 14 | 6.2, Pages 270--274 | Pages 274--277: 1(a,b,d,g,h,i,p), 2(c,e,f), 4, 7, 8, 11, 12, 13, 15, 17a, 19(a,b) |
Wed, Nov 30 |
| Wed, Nov 16 | Chapters 4 and 5 | TEST 3 | Wed, Nov 16 |
| Fri, Nov 18 | 6.3, Pages 277--284 | Pages 284-285: 1, 2, 3, 8, 11, 12a, 13 | Wed, Nov 30 |
| Mon, Nov 21 | 6.4, Pages 286--294 | Pages 294--296: 1(a,d,e,g), 3, 5, 7, 12(a,b,c,d), 14 | Fri, Dec 9 |
| THANKSGIVING | THANKSGIVING | THANKSGIVING | THANKSGIVING |
| Mon, Nov 28 | 7.1, Pages 299--312 | Pages 312--314: 1, 2(a,b,c,e), 4, 5, 7(a,b,c), 8(a,c,e), 14, 16 | Fri, Dec 9 |
| Wed, Nov 30 | 7.1, Pages 299--312 | No new homework! | Fri, Dec 9 |
| Fri, Dec 2 | 7.3, Pages 331--344 | Pages 344--347: 1(a,c,d), 2(a,b,d), 4, 5(a,b), 6, 8(only for n = 3), 9(a,b), 10, 13, 14 |
Fri, Dec 9 |
| Mon, Dec 5 | 7.3, Pages 331--344 | No new homework! | Fri, Dec 9 |
| Wed, Dec 7 | Not in Book: The Singular Value Decomposition |
No new homework! | Fri, Dec 9 |
| Fri, Dec 9 | REVIEW | Study "Questions of the Day'', review tests, and look over HW solutions. |
FINAL EXAM Saturday, December 17 2:00 PM -- 5:00 PM |